Aparticle is moving along a line at a velocity of y = 3 sin ( / 5 ) + 2 m / s at location x meters from the starting point
on the line for 0 ≤ x ≤ 20.
a. find a formula that represents the location of the particle given its velocity.
b. what is the domain and range of the function you found in part (a)?
c. use your answer to part (a) to find where the particle is when it is traveling 5 m / s for the first time.
d. how can you find the other locations the particle is traveling at this speed?